Atkin-Lehner |
2+ 3+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
28050w |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
44800 |
Modular degree for the optimal curve |
Δ |
-1420031250000 = -1 · 24 · 35 · 59 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 11- 3 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1425,-52875] |
[a1,a2,a3,a4,a6] |
j |
163667323/727056 |
j-invariant |
L |
1.7230571229849 |
L(r)(E,1)/r! |
Ω |
0.43076428074623 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84150gn1 28050dr1 |
Quadratic twists by: -3 5 |